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The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)
Question
The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)
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Mathematics
3 years
2021-08-30T23:44:06+00:00
2021-08-30T23:44:06+00:00 2 Answers
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Answers ( )
The angle is 35 degrees
(180 – x) = 2(90 – x) + 35
180 – x = 180 – 2x + 35
180 – x = 215 – 2x
180 + x = 215
x = 35
Check:
180 – 35 = 145 supplement
90 – 35 = 55 complement
55*2 = 110 twice the complement
110 + 35 = 145 🙂
Answer:
35 degrees
Step-by-step explanation:
(180-x)= supplement
(90-x)=complement
(180-x)-2(90-x)=35
180-x-180+2x=35
x=35